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    "# Lets-Plot Usage Guide\n",
    "\n",
    "<a href=\"https://opensource.org/licenses/MIT\">\n",
    "<img src=\"https://img.shields.io/badge/License-MIT-yellow.svg\" alt=\"Couldn't load MIT license svg\"/>\n",
    "</a>\n",
    "\n",
    "\n",
    "- [Installation](#install)\n",
    "- [Understanding architecture](#implementation)\n",
    "- [Learning API](#api)\n",
    "- [Getting started](#gsg)\n",
    "\n",
    "\n",
    "**Lets-Plot** is an open-source plotting library for statistical data. It is implemented using the \n",
    "[Kotlin programming language](https://kotlinlang.org/) that has a multi-platform nature.\n",
    "That's why Lets-Plot provides the plotting functionality that \n",
    "is packaged as a JavaScript library, a JVM library, and a native Python extension.\n",
    "\n",
    "The design of the Lets-Plot library is heavily influenced by [ggplot2](https://ggplot2.tidyverse.org) library.\n",
    "\n",
    "<a name=\"Installation\" id=\"install\"></a>\n",
    "## Installation\n",
    "\n",
    "Library is distributed via [Maven Central](https://central.sonatype.com/artifact/org.jetbrains.lets-plot/lets-plot-kotlin).\n",
    "You can include it in your Kotlin or Java project using Maven or Gradle configuration files (see also [Developer guide](https://github.com/JetBrains/lets-plot-kotlin/blob/master/USAGE_BATIK_JFX_JS.md)),\n",
    "or include it in your Jupyter notebook script via `%use lets-plot` annotation (see [Kotlin kernel for IPython/Jupyter](https://github.com/Kotlin/kotlin-jupyter)).\n",
    "\n",
    "<a name=\"Implementation\" id=\"implementation\"></a>\n",
    "## Understanding Lets-Plot architecture\n",
    "In `lets-plot`, the **plot** is represented at least by one\n",
    "**layer**. It can be built based on the default dataset with the aesthetics mappings, set of scales, or additional \n",
    "features applied.\n",
    "\n",
    "The **Layer** is responsible for creating the objects painted on the ‘canvas’ and it contains the following elements:\n",
    "- **Data** - the set of data specified either once for all layers or on a per layer basis.\n",
    "One plot can combine multiple different datasets (one per layer).\n",
    "- **Aesthetic mapping** - describes how variables in the dataset are mapped to the visual properties of the layer, such as color, shape, size, or position.\n",
    "- **Geometric object** - a geometric object that represents a particular type of charts.\n",
    "- **Statistical transformation** - computes some kind of statistical summary on the raw input data. \n",
    "For example, `bin` statistics is used for histograms and `smooth` is used for regression lines. \n",
    "Most stats take additional parameters to specify details of the statistical transformation of data.\n",
    "- **Position adjustment** - a method used to compute the final coordinates of geometry. \n",
    "Used to build variants of the same `geom` object or to avoid overplotting.\n",
    "\n",
    "![layer diagram](images/layer-small.png)\n",
    "\n",
    "<a name=\"API\" id=\"api\"></a>\n",
    "## Learning API\n",
    "The typical code fragment that plots a Lets-Plot chart looks as follows:\n",
    "\n",
    "```\n",
    "import org.jetbrains.letsPlot.*\n",
    "import org.jetbrains.letsPlot.geom.*\n",
    "import org.jetbrains.letsPlot.stat.*\n",
    "\n",
    "p = letsPlot(<dataframe>) \n",
    "p + geom<ChartType>(stat=<stat>, position=<adjustment>) { <aesthetics mapping> }\n",
    "```\n",
    "\n",
    "### Geometric objects `geom`\n",
    "\n",
    "You can add a new geometric object (or plot layer) by creating it using the `geomXxx()` function and then adding this object to `ggplot`:\n",
    "\n",
    "```\n",
    "p = letsPlot(data=df)\n",
    "p + geomPoint()\n",
    "```\n",
    "\n",
    "See the [geom reference](https://lets-plot.org/kotlin/api-reference/-lets--plot--kotlin/org.jetbrains.letsPlot.geom/index.html) for more information about the supported\n",
    "geometric objects, their arguments, and default values.\n",
    "\n",
    "There is also a few `statXxx()` functions which also create a plot layer.\n",
    "Occasionally, it feels more naturally to use `statXxx()` instead of `geomXxx()` function to add a new plot layer.\n",
    "For example, you might prefer to use `statCount()` instead of `geomBar()`.\n",
    "\n",
    "See the [stat layer reference](https://lets-plot.org/kotlin/api-reference/-lets--plot--kotlin/org.jetbrains.letsPlot.stat/index.html) for more information about the supported\n",
    "stat plot-layer objects, their arguments, and default values.\n",
    "\n",
    "\n",
    "### Collections of plots\n",
    "With the [ggbunch()](https://lets-plot.org/kotlin/api-reference/-lets--plot--kotlin/org.jetbrains.letsPlot/ggbunch.html) function, you can\n",
    "render a collection of plots:\n",
    "\n",
    "```\n",
    "ggbunch(\n",
    "    plots = listOf(plot1, plot2),\n",
    "    regions = listOf(listOf(0, 0, .5, 1), listOf(.5, 0, .5, 1))\n",
    ") + ggsize(800, 300)\n",
    "```\n",
    "\n",
    "See the [ggbunch.ipynb](https://nbviewer.org/github/JetBrains/lets-plot-docs/blob/master/source/kotlin_examples/cookbook/ggbunch.ipynb)\n",
    " example for more information.\n",
    "\n",
    "### Stat `stat`\n",
    "\n",
    "Add `stat` as an argument to `geomXxx()` function to define statistical data transformations:\n",
    "\n",
    "`geomPoint(stat=Stat.count())`\n",
    "\n",
    "Supported statistical transformations:\n",
    "\n",
    "- `identity`:  leave the data unchanged\n",
    "- `count`:  calculate the number of points with same x-axis coordinate\n",
    "- `bin`:  calculate the number of points falling in each of adjacent equally sized ranges along the x-axis\n",
    "- `bin2d`:  calculate the number of points falling in each of adjacent equal sized rectangles on the plot plane\n",
    "- `smooth`:  perform smoothing\n",
    "- `contour`, `contourFilled`, : calculate contours of 3D data\n",
    "- `boxplot`: calculate components of a box plot.\n",
    "- `density`, `density2D`, `density2DFilled`: perform a kernel density estimation for 1D and 2D data\n",
    "\n",
    "See the [stat reference](https://lets-plot.org/kotlin/api-reference/-lets--plot--kotlin/org.jetbrains.letsPlot/-stat/index.html) for more information about the supported\n",
    "stat objects, their arguments, and default values.\n",
    "\n",
    "\n",
    "### Aesthetic mappings `mapping`\n",
    "With mappings, you can define how variables in dataset are mapped to the visual elements of the chart.\n",
    "Add the `{x=< >; y=< >; ...}` closure to `geom`, where:\n",
    "- `x`: the dataframe column to map to the x axis. \n",
    "- `y`: the dataframe column to map to the y axis.\n",
    "- `...`: other visual properties of the chart, such as color, shape, size, or position.\n",
    "\n",
    "`geom_point() {x = \"cty\"; y = \"hwy\"; color=\"cyl\"}`\n",
    "\n",
    "### Position adjustment `position`\n",
    "\n",
    "All layers have a position adjustment that computes the final coordinates of geometry.\n",
    "Position adjustment is used to build variances of the same plots and resolve overlapping.\n",
    "Override the default settings by using the `position` argument in the `geom` functions:\n",
    "\n",
    "`geomBar(position=positionFill)`\n",
    "\n",
    "or\n",
    "\n",
    "`geomBar(position=positionDodge(width=1.01))`\n",
    "\n",
    "Available adjustments:\n",
    "- `dodge`\n",
    "- `jitter`\n",
    "- `jitterdodge`\n",
    "- `nudge`\n",
    "- `identity`\n",
    "- `fill`\n",
    "- `stack`\n",
    "\n",
    "See [position functions reference](https://lets-plot.org/kotlin/api-reference/-lets--plot--kotlin/org.jetbrains.letsPlot.pos/index.html)\n",
    "for more information about position adjustments.\n",
    "\n",
    "### Features affecting the entire plot\n",
    "\n",
    "#### Scales\n",
    "\n",
    "Enables choosing a reasonable scale for each mapped variable depending on the variable attributes. Override default scales to tweak\n",
    "details like the axis labels or legend keys, or to use a completely different translation from data to aesthetic.\n",
    "For example, to override the fill color on the histogram:\n",
    "\n",
    "`p + geomHistogram() + scaleFillContinuous(\"red\", \"green\")`\n",
    "\n",
    "See the list of the available `scale` methods in the [scale reference](https://lets-plot.org/kotlin/api-reference/-lets--plot--kotlin/org.jetbrains.letsPlot.scale/index.html)\n",
    "\n",
    "#### Coordinated system\n",
    "\n",
    "The coordinate system determines how the x and y aesthetics combine to position elements in the plot.\n",
    "For example, to override the default X and Y ratio:\n",
    "\n",
    "`p + coordFixed(ratio=2)`\n",
    "\n",
    "See the list of the available methods in [coordinates reference](https://lets-plot.org/kotlin/api-reference/-lets--plot--kotlin/org.jetbrains.letsPlot.coord/index.html)\n",
    "\n",
    "#### Legend\n",
    "The axes and legends help users interpret plots.\n",
    "Use the `guide` methods or the `guide` argument of the `scale` method to customize the legend.\n",
    "For example, to define the number of columns in the legend:\n",
    "\n",
    "`p + scaleColorDiscrete(guide=guideLegend(ncol=2))`\n",
    "\n",
    "See more information about the `guideColorbar, guideLegend` functions in the [scale reference](https://lets-plot.org/kotlin/api-reference/-lets--plot--kotlin/org.jetbrains.letsPlot.scale/index.html)\n",
    "\n",
    "Adjust legend location on plot using the `theme` legendPosition, legendJustification and legendDirection methods, see:\n",
    "[theme reference](https://lets-plot.org/kotlin/api-reference/-lets--plot--kotlin/org.jetbrains.letsPlot.themes/index.html)\n",
    "\n",
    "#### Sampling\n",
    "\n",
    "Sampling is a special technique of data transformation built into Lets-Plot and it is applied after stat transformation.\n",
    "Sampling helps prevents UI freezes and out-of-memory crashes when attempting to plot an excessively large number of geometries.\n",
    "By default, the technique applies automatically when the data volume exceeds a certain threshold.\n",
    "The `samplingNone` value disables any sampling for the given layer. The sampling methods can be chained together using the + operator.\n",
    "\n",
    "Available methods:\n",
    "- `samplingRandomStratified`: randomly selects points from each group proportionally to the group size but also ensures\n",
    "that each group is represented by at least a specified minimum number of points.\n",
    "- `samplingRandom`: selects data points at randomly chosen indices without replacement.\n",
    "- `samplingPick`: analyses X-values and selects all points which X-values get in the set of first `n` X-values found in the population.\n",
    "- `samplingSystematic`: selects data points at evenly distributed indices.\n",
    "- `samplingCertexDP`, `samplingVertexVW`: simplifies plotting of polygons.\n",
    "There is a choice of two implementation algorithms: Douglas-Peucker (`DP`) and\n",
    "Visvalingam-Whyatt (`VW`).\n",
    "\n",
    "For more details, see the [sampling reference](https://lets-plot.org/kotlin/api-reference/-lets--plot--kotlin/org.jetbrains.letsPlot.sampling/index.html)."
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    "<a name=\"GSG\" id=\"gsg\"></a>\n",
    "### Getting started\n",
    "\n",
    "Let's plot a point chart built using the mpg dataset.\n",
    "\n",
    "Create the `DataFrame` object and retrieve the data."
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    "%useLatestDescriptors\n",
    "%use lets-plot\n",
    "@file:DependsOn(\"com.github.doyaaaaaken:kotlin-csv-jvm:0.7.3\")\n",
    "\n",
    "import com.github.doyaaaaaken.kotlincsv.client.*\n",
    "\n",
    "val csvData = java.io.File(\"mpg.csv\")\n",
    "\n",
    "val mpg: List<Map<String, String>> = CsvReader().readAllWithHeader(csvData)\n",
    "\n",
    "fun col(name: String, discrete: Boolean=false): List<*> {\n",
    "    return mpg.map {\n",
    "        val v = it[name]\n",
    "        if(discrete) v else v?.toDouble()\n",
    "    }\n",
    "}\n",
    "\n",
    "val df = mapOf(\n",
    "    \"displ\" to col(\"displ\"),\n",
    "    \"hwy\" to col(\"hwy\"),\n",
    "    \"cyl\" to col(\"cyl\"),\n",
    "    \"index\" to col(\"\"),\n",
    "    \"cty\" to col(\"cty\"),\n",
    "    \"drv\" to col(\"drv\", true),\n",
    "    \"year\" to col(\"year\")\n",
    ")"
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    "Plot the basic point chart."
   ]
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    "Perform the following aesthetic mappings:\n",
    " - `x` = displ (the **displ** column of the dataframe)\n",
    " - `y` = hwy  (the **hwy** column of the dataframe)\n",
    " - `color` = cyl (the **cyl** column of the dataframe)"
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            9,
            14,
            13,
            11,
            11,
            12,
            12,
            11,
            11,
            11,
            12,
            14,
            13,
            13,
            13,
            21,
            19,
            23,
            23,
            19,
            19,
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            19,
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            16,
            17,
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            20,
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            19,
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            19,
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            15,
            16,
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            21,
            21,
            21,
            22,
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            18,
            24,
            24,
            26,
            28,
            26,
            11,
            13,
            15,
            16,
            17,
            15,
            15,
            15,
            16,
            21,
            19,
            21,
            22,
            17,
            33,
            21,
            19,
            22,
            21,
            21,
            21,
            16,
            17,
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            29,
            21,
            19,
            20,
            20,
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            17
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            6,
            6,
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            8,
            8,
            8,
            8,
            8,
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            8,
            8,
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            8,
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            6,
            6,
            6,
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            8,
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            4,
            4,
            4,
            4,
            4,
            4,
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            4,
            4,
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            4,
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            8,
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            6,
            6,
            6,
            6,
            6,
            6,
            8,
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            6,
            6,
            6,
            8,
            4,
            4,
            4,
            4,
            4,
            4,
            4,
            4,
            4,
            4,
            4,
            4,
            4,
            4,
            4,
            4,
            6,
            6,
            6,
            8,
            4,
            4,
            4,
            4,
            6,
            6,
            6,
            4,
            4,
            4,
            4,
            6,
            6,
            6,
            4,
            4,
            4,
            4,
            4,
            8,
            8,
            4,
            4,
            4,
            6,
            6,
            6,
            6,
            4,
            4,
            4,
            4,
            6,
            4,
            4,
            4,
            4,
            4,
            5,
            5,
            6,
            6,
            4,
            4,
            4,
            4,
            5,
            5,
            4,
            4,
            4,
            4,
            6,
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            6
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            2,
            2,
            2.8,
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            3.1,
            2.8,
            3.1,
            4.2,
            5.3,
            5.3,
            5.3,
            5.7,
            6,
            5.7,
            5.7,
            6.2,
            6.2,
            7,
            5.3,
            5.3,
            5.7,
            6.5,
            2.4,
            2.4,
            3.1,
            3.5,
            3.6,
            2.4,
            3,
            3.3,
            3.3,
            3.3,
            3.3,
            3.3,
            3.8,
            3.8,
            3.8,
            4,
            3.7,
            3.7,
            3.9,
            3.9,
            4.7,
            4.7,
            4.7,
            5.2,
            5.2,
            3.9,
            4.7,
            4.7,
            4.7,
            5.2,
            5.7,
            5.9,
            4.7,
            4.7,
            4.7,
            4.7,
            4.7,
            4.7,
            5.2,
            5.2,
            5.7,
            5.9,
            4.6,
            5.4,
            5.4,
            4,
            4,
            4,
            4,
            4.6,
            5,
            4.2,
            4.2,
            4.6,
            4.6,
            4.6,
            5.4,
            5.4,
            3.8,
            3.8,
            4,
            4,
            4.6,
            4.6,
            4.6,
            4.6,
            5.4,
            1.6,
            1.6,
            1.6,
            1.6,
            1.6,
            1.8,
            1.8,
            1.8,
            2,
            2.4,
            2.4,
            2.4,
            2.4,
            2.5,
            2.5,
            3.3,
            2,
            2,
            2,
            2,
            2.7,
            2.7,
            2.7,
            3,
            3.7,
            4,
            4.7,
            4.7,
            4.7,
            5.7,
            6.1,
            4,
            4.2,
            4.4,
            4.6,
            5.4,
            5.4,
            5.4,
            4,
            4,
            4.6,
            5,
            2.4,
            2.4,
            2.5,
            2.5,
            3.5,
            3.5,
            3,
            3,
            3.5,
            3.3,
            3.3,
            4,
            5.6,
            3.1,
            3.8,
            3.8,
            3.8,
            5.3,
            2.5,
            2.5,
            2.5,
            2.5,
            2.5,
            2.5,
            2.2,
            2.2,
            2.5,
            2.5,
            2.5,
            2.5,
            2.5,
            2.5,
            2.7,
            2.7,
            3.4,
            3.4,
            4,
            4.7,
            2.2,
            2.2,
            2.4,
            2.4,
            3,
            3,
            3.5,
            2.2,
            2.2,
            2.4,
            2.4,
            3,
            3,
            3.3,
            1.8,
            1.8,
            1.8,
            1.8,
            1.8,
            4.7,
            5.7,
            2.7,
            2.7,
            2.7,
            3.4,
            3.4,
            4,
            4,
            2,
            2,
            2,
            2,
            2.8,
            1.9,
            2,
            2,
            2,
            2,
            2.5,
            2.5,
            2.8,
            2.8,
            1.9,
            1.9,
            2,
            2,
            2.5,
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            2,
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            2.8,
            3.6
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            25,
            25,
            24,
            25,
            23,
            20,
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            20,
            17,
            17,
            26,
            23,
            26,
            25,
            24,
            19,
            14,
            15,
            17,
            27,
            30,
            26,
            29,
            26,
            24,
            24,
            22,
            22,
            24,
            24,
            17,
            22,
            21,
            23,
            23,
            19,
            18,
            17,
            17,
            19,
            19,
            12,
            17,
            15,
            17,
            17,
            12,
            17,
            16,
            18,
            15,
            16,
            12,
            17,
            17,
            16,
            12,
            15,
            16,
            17,
            15,
            17,
            17,
            18,
            17,
            19,
            17,
            19,
            19,
            17,
            17,
            17,
            16,
            16,
            17,
            15,
            17,
            26,
            25,
            26,
            24,
            21,
            22,
            23,
            22,
            20,
            33,
            32,
            32,
            29,
            32,
            34,
            36,
            36,
            29,
            26,
            27,
            30,
            31,
            26,
            26,
            28,
            26,
            29,
            28,
            27,
            24,
            24,
            24,
            22,
            19,
            20,
            17,
            12,
            19,
            18,
            14,
            15,
            18,
            18,
            15,
            17,
            16,
            18,
            17,
            19,
            19,
            17,
            29,
            27,
            31,
            32,
            27,
            26,
            26,
            25,
            25,
            17,
            17,
            20,
            18,
            26,
            26,
            27,
            28,
            25,
            25,
            24,
            27,
            25,
            26,
            23,
            26,
            26,
            26,
            26,
            25,
            27,
            25,
            27,
            20,
            20,
            19,
            17,
            20,
            17,
            29,
            27,
            31,
            31,
            26,
            26,
            28,
            27,
            29,
            31,
            31,
            26,
            26,
            27,
            30,
            33,
            35,
            37,
            35,
            15,
            18,
            20,
            20,
            22,
            17,
            19,
            18,
            20,
            29,
            26,
            29,
            29,
            24,
            44,
            29,
            26,
            29,
            29,
            29,
            29,
            23,
            24,
            44,
            41,
            29,
            26,
            28,
            29,
            29,
            29,
            28,
            29,
            26,
            26,
            26
           ],
           "index": [
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127,
            128,
            129,
            130,
            131,
            132,
            133,
            134,
            135,
            136,
            137,
            138,
            139,
            140,
            141,
            142,
            143,
            144,
            145,
            146,
            147,
            148,
            149,
            150,
            151,
            152,
            153,
            154,
            155,
            156,
            157,
            158,
            159,
            160,
            161,
            162,
            163,
            164,
            165,
            166,
            167,
            168,
            169,
            170,
            171,
            172,
            173,
            174,
            175,
            176,
            177,
            178,
            179,
            180,
            181,
            182,
            183,
            184,
            185,
            186,
            187,
            188,
            189,
            190,
            191,
            192,
            193,
            194,
            195,
            196,
            197,
            198,
            199,
            200,
            201,
            202,
            203,
            204,
            205,
            206,
            207,
            208,
            209,
            210,
            211,
            212,
            213,
            214,
            215,
            216,
            217,
            218,
            219,
            220,
            221,
            222,
            223,
            224,
            225,
            226,
            227,
            228,
            229,
            230,
            231,
            232,
            233,
            234
           ],
           "year": [
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            1999,
            2008,
            2008,
            1999,
            1999,
            2008,
            1999,
            1999,
            2008,
            2008,
            1999,
            1999,
            2008,
            2008,
            1999,
            2008,
            2008,
            2008,
            2008,
            2008,
            1999,
            2008,
            1999,
            1999,
            2008,
            2008,
            2008,
            2008,
            2008,
            1999,
            1999,
            1999,
            2008,
            1999,
            2008,
            2008,
            1999,
            1999,
            1999,
            1999,
            2008,
            2008,
            2008,
            1999,
            1999,
            2008,
            2008,
            2008,
            2008,
            1999,
            1999,
            2008,
            2008,
            2008,
            1999,
            1999,
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            1999,
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            2008,
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            1999,
            1999,
            1999,
            1999,
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            2008,
            1999,
            2008,
            1999,
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            2008,
            1999,
            1999,
            2008,
            2008,
            2008,
            1999,
            1999,
            1999,
            1999,
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            2008,
            2008,
            2008,
            1999,
            1999,
            2008,
            2008,
            1999,
            1999,
            2008,
            1999,
            1999,
            2008,
            2008,
            2008,
            2008,
            2008,
            2008,
            2008,
            1999,
            1999,
            2008,
            2008,
            2008,
            2008,
            1999,
            2008,
            2008,
            1999,
            1999,
            1999,
            2008,
            1999,
            2008,
            2008,
            1999,
            1999,
            1999,
            2008,
            2008,
            2008,
            2008,
            1999,
            1999,
            2008,
            1999,
            1999,
            2008,
            2008,
            1999,
            1999,
            1999,
            2008,
            2008,
            1999,
            1999,
            2008,
            2008,
            2008,
            2008,
            1999,
            1999,
            1999,
            1999,
            2008,
            2008,
            2008,
            2008,
            1999,
            1999,
            1999,
            1999,
            2008,
            2008,
            1999,
            1999,
            2008,
            2008,
            1999,
            1999,
            2008,
            1999,
            1999,
            2008,
            2008,
            1999,
            1999,
            2008,
            1999,
            1999,
            1999,
            2008,
            2008,
            1999,
            2008,
            1999,
            1999,
            2008,
            1999,
            1999,
            2008,
            2008,
            1999,
            1999,
            2008,
            2008,
            1999,
            1999,
            1999,
            1999,
            2008,
            2008,
            2008,
            2008,
            1999,
            1999,
            1999,
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   "source": [
    "// Mapping\n",
    "letsPlot(df) {x = \"displ\"; y = \"hwy\"; color = \"cyl\"} + geomPoint(df)"
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   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Apply statistical data transformation to count the number of cases at each x position."
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  {
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   "execution_count": 3,
   "metadata": {
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     "name": "#%%\n"
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     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "val p = letsPlot(df)\n",
    "p + geomPoint(df, stat = Stat.count()) {x = \"displ\"; color = \"..count..\"; size = \"..count..\"}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Change the pallete and the legend, add the title. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    },
    "pycharm": {
     "is_executing": false,
     "name": "#%%\n"
    }
   },
   "outputs": [
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            16,
            15,
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            23,
            24,
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            11,
            11,
            12,
            12,
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            14,
            13,
            13,
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            19,
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            28,
            26,
            11,
            13,
            15,
            16,
            17,
            15,
            15,
            15,
            16,
            21,
            19,
            21,
            22,
            17,
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            21,
            19,
            22,
            21,
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            4,
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            4,
            4,
            4,
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            4,
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            6,
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            4,
            4,
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            4,
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            4,
            4,
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            4,
            4,
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            6,
            6,
            6,
            6,
            4,
            4,
            4,
            4,
            6,
            4,
            4,
            4,
            4,
            4,
            5,
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            6,
            6,
            4,
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            5.3,
            5.3,
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            3.6,
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            3.3,
            3.3,
            3.8,
            3.8,
            3.8,
            4,
            3.7,
            3.7,
            3.9,
            3.9,
            4.7,
            4.7,
            4.7,
            5.2,
            5.2,
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            4.7,
            4.7,
            5.2,
            5.7,
            5.9,
            4.7,
            4.7,
            4.7,
            4.7,
            4.7,
            4.7,
            5.2,
            5.2,
            5.7,
            5.9,
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            5.4,
            5.4,
            4,
            4,
            4,
            4,
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            5,
            4.2,
            4.2,
            4.6,
            4.6,
            4.6,
            5.4,
            5.4,
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            4.6,
            4.6,
            5.4,
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            1.6,
            1.6,
            1.6,
            1.6,
            1.8,
            1.8,
            1.8,
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            2.5,
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            2,
            2,
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            2.7,
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            3.7,
            4,
            4.7,
            4.7,
            4.7,
            5.7,
            6.1,
            4,
            4.2,
            4.4,
            4.6,
            5.4,
            5.4,
            5.4,
            4,
            4,
            4.6,
            5,
            2.4,
            2.4,
            2.5,
            2.5,
            3.5,
            3.5,
            3,
            3,
            3.5,
            3.3,
            3.3,
            4,
            5.6,
            3.1,
            3.8,
            3.8,
            3.8,
            5.3,
            2.5,
            2.5,
            2.5,
            2.5,
            2.5,
            2.5,
            2.2,
            2.2,
            2.5,
            2.5,
            2.5,
            2.5,
            2.5,
            2.5,
            2.7,
            2.7,
            3.4,
            3.4,
            4,
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            2.2,
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            2.4,
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            2.4,
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            1.8,
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            4,
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            2,
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            17,
            22,
            21,
            23,
            23,
            19,
            18,
            17,
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            15,
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            17,
            12,
            17,
            16,
            18,
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            17,
            16,
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            15,
            16,
            17,
            15,
            17,
            17,
            18,
            17,
            19,
            17,
            19,
            19,
            17,
            17,
            17,
            16,
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            17,
            15,
            17,
            26,
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            26,
            24,
            21,
            22,
            23,
            22,
            20,
            33,
            32,
            32,
            29,
            32,
            34,
            36,
            36,
            29,
            26,
            27,
            30,
            31,
            26,
            26,
            28,
            26,
            29,
            28,
            27,
            24,
            24,
            24,
            22,
            19,
            20,
            17,
            12,
            19,
            18,
            14,
            15,
            18,
            18,
            15,
            17,
            16,
            18,
            17,
            19,
            19,
            17,
            29,
            27,
            31,
            32,
            27,
            26,
            26,
            25,
            25,
            17,
            17,
            20,
            18,
            26,
            26,
            27,
            28,
            25,
            25,
            24,
            27,
            25,
            26,
            23,
            26,
            26,
            26,
            26,
            25,
            27,
            25,
            27,
            20,
            20,
            19,
            17,
            20,
            17,
            29,
            27,
            31,
            31,
            26,
            26,
            28,
            27,
            29,
            31,
            31,
            26,
            26,
            27,
            30,
            33,
            35,
            37,
            35,
            15,
            18,
            20,
            20,
            22,
            17,
            19,
            18,
            20,
            29,
            26,
            29,
            29,
            24,
            44,
            29,
            26,
            29,
            29,
            29,
            29,
            23,
            24,
            44,
            41,
            29,
            26,
            28,
            29,
            29,
            29,
            28,
            29,
            26,
            26,
            26
           ],
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            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127,
            128,
            129,
            130,
            131,
            132,
            133,
            134,
            135,
            136,
            137,
            138,
            139,
            140,
            141,
            142,
            143,
            144,
            145,
            146,
            147,
            148,
            149,
            150,
            151,
            152,
            153,
            154,
            155,
            156,
            157,
            158,
            159,
            160,
            161,
            162,
            163,
            164,
            165,
            166,
            167,
            168,
            169,
            170,
            171,
            172,
            173,
            174,
            175,
            176,
            177,
            178,
            179,
            180,
            181,
            182,
            183,
            184,
            185,
            186,
            187,
            188,
            189,
            190,
            191,
            192,
            193,
            194,
            195,
            196,
            197,
            198,
            199,
            200,
            201,
            202,
            203,
            204,
            205,
            206,
            207,
            208,
            209,
            210,
            211,
            212,
            213,
            214,
            215,
            216,
            217,
            218,
            219,
            220,
            221,
            222,
            223,
            224,
            225,
            226,
            227,
            228,
            229,
            230,
            231,
            232,
            233,
            234
           ],
           "year": [
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            1999,
            2008,
            2008,
            1999,
            1999,
            2008,
            1999,
            1999,
            2008,
            2008,
            1999,
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            2008,
            2008,
            1999,
            2008,
            2008,
            2008,
            2008,
            2008,
            1999,
            2008,
            1999,
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            2008,
            2008,
            2008,
            2008,
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            1999,
            1999,
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            2008,
            1999,
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            2008,
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            1999,
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            1999,
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            1999,
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            1999,
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            1999,
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            1999,
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            2008,
            2008,
            1999,
            1999,
            1999,
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            2008,
            2008,
            2008,
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            1999,
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            2008,
            1999,
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            1999,
            1999,
            2008,
            2008,
            2008,
            2008,
            2008,
            2008,
            2008,
            1999,
            1999,
            2008,
            2008,
            2008,
            2008,
            1999,
            2008,
            2008,
            1999,
            1999,
            1999,
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            1999,
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            2008,
            1999,
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            2008,
            1999,
            1999,
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            2008,
            1999,
            1999,
            1999,
            2008,
            2008,
            1999,
            1999,
            2008,
            2008,
            2008,
            2008,
            1999,
            1999,
            1999,
            1999,
            2008,
            2008,
            2008,
            2008,
            1999,
            1999,
            1999,
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            2008,
            1999,
            1999,
            2008,
            2008,
            1999,
            1999,
            2008,
            1999,
            1999,
            2008,
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     "metadata": {},
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   "source": [
    "val p = letsPlot(df) {x = \"displ\"; y = \"hwy\"; color = \"cyl\"}\n",
    "p + \n",
    "    geomPoint(df, position = positionNudge()) + \n",
    "    scaleGradient(\"color\", low = \"red\", high = \"green\", guide = guideLegend(ncol=2)) + \n",
    "    ggtitle(\"Displacement by horsepower\")"
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  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Apply the randomly stratified sampling to select points from each group proportionally \n",
    "to the group size."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false,
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     "outputs_hidden": false
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    "pycharm": {
     "is_executing": false,
     "name": "#%%\n"
    }
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          17,
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          20,
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          30,
          33,
          35,
          37,
          35,
          15,
          18,
          20,
          20,
          22,
          17,
          19,
          18,
          20,
          29,
          26,
          29,
          29,
          24,
          44,
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          26,
          29,
          29,
          29,
          29,
          23,
          24,
          44,
          41,
          29,
          26,
          28,
          29,
          29,
          29,
          28,
          29,
          26,
          26,
          26
         ],
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          3,
          4,
          5,
          6,
          7,
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          9,
          10,
          11,
          12,
          13,
          14,
          15,
          16,
          17,
          18,
          19,
          20,
          21,
          22,
          23,
          24,
          25,
          26,
          27,
          28,
          29,
          30,
          31,
          32,
          33,
          34,
          35,
          36,
          37,
          38,
          39,
          40,
          41,
          42,
          43,
          44,
          45,
          46,
          47,
          48,
          49,
          50,
          51,
          52,
          53,
          54,
          55,
          56,
          57,
          58,
          59,
          60,
          61,
          62,
          63,
          64,
          65,
          66,
          67,
          68,
          69,
          70,
          71,
          72,
          73,
          74,
          75,
          76,
          77,
          78,
          79,
          80,
          81,
          82,
          83,
          84,
          85,
          86,
          87,
          88,
          89,
          90,
          91,
          92,
          93,
          94,
          95,
          96,
          97,
          98,
          99,
          100,
          101,
          102,
          103,
          104,
          105,
          106,
          107,
          108,
          109,
          110,
          111,
          112,
          113,
          114,
          115,
          116,
          117,
          118,
          119,
          120,
          121,
          122,
          123,
          124,
          125,
          126,
          127,
          128,
          129,
          130,
          131,
          132,
          133,
          134,
          135,
          136,
          137,
          138,
          139,
          140,
          141,
          142,
          143,
          144,
          145,
          146,
          147,
          148,
          149,
          150,
          151,
          152,
          153,
          154,
          155,
          156,
          157,
          158,
          159,
          160,
          161,
          162,
          163,
          164,
          165,
          166,
          167,
          168,
          169,
          170,
          171,
          172,
          173,
          174,
          175,
          176,
          177,
          178,
          179,
          180,
          181,
          182,
          183,
          184,
          185,
          186,
          187,
          188,
          189,
          190,
          191,
          192,
          193,
          194,
          195,
          196,
          197,
          198,
          199,
          200,
          201,
          202,
          203,
          204,
          205,
          206,
          207,
          208,
          209,
          210,
          211,
          212,
          213,
          214,
          215,
          216,
          217,
          218,
          219,
          220,
          221,
          222,
          223,
          224,
          225,
          226,
          227,
          228,
          229,
          230,
          231,
          232,
          233,
          234
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       "                <script>document.getElementById(\"b0e24b4c-8554-4b51-b490-ac6cdf7716bd\").style.display = \"none\";</script>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "val p = letsPlot(df) {x = \"displ\"; y = \"hwy\"; color = \"cyl\"}\n",
    "p   + geomPoint(\n",
    "      data=df, position = positionNudge(), \n",
    "      sampling = samplingRandomStratified(40)\n",
    "  ) + scaleGradient(\n",
    "      \"color\", low = \"blue\", high = \"pink\",\n",
    "      guide = guideLegend(ncol=2)\n",
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